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# A rectangular shaped swimming pool with dimensions 30 m × 20 m has 5 m wide cemented path along its length and 8 m wide path along its width (as shown in Fig. 9.11). Find the cost of cementing the path at the rate of Rs 200 per m².

**Solution:**

We know that

__Area__ covered by swimming pool = 30 m × 20 m

= 600 m²

Length of outer rectangle = (30 + 8 + 8) m

= 46 m

Breadth of outer rectangle = (20 + 5 + 5) m

= 30 m

Here

Area of outer rectangle = 46 m × 30 m

= 1380 m²

We have to find the area of cemented path

Area of cemented path = Area of outer rectangle - Area of swimming pool

Substituting the values

= (1380 - 600) m²

= 780 m²

Given that

Cost of cementing 1 m² path = ₹200

Total cost of cementing the path = 780 x 200

= ₹ 156000

Therefore, the cost of cementing the path at the rate of Rs 200 per m² is Rs 156000.

**✦ Try This: **Area of parallelogram with base 3 cm and height 9 cm is ____ cm²

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Sample Problem 12**

## A rectangular shaped swimming pool with dimensions 30 m × 20 m has 5 m wide cemented path along its length and 8 m wide path along its width (as shown in Fig. 9.11). Find the cost of cementing the path at the rate of Rs 200 per m².

**Summary:**

A rectangular shaped swimming pool with dimensions 30 m × 20 m has 5 m wide cemented path along its length and 8 m wide path along its width (as shown in Fig. 9.11). The cost of cementing the path at the rate of Rs 200 per m² is Rs 156000

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